Calcudoku: the math cage puzzle

Fill the grid with no repeats so each cage makes its target with +, −, × or ÷.

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Calcudoku game cover

What is Calcudoku?

Calcudoku is a number puzzle that mixes sudoku-style rules with simple arithmetic. Every row and column uses each number once, and outlined cages tell you what their numbers must add, subtract, multiply or divide to.

If you enjoy KenKen-style puzzles, this is the same idea, free and unlimited. Start small, and within a few grids the combinations will jump out at you.

How to play Calcudoku

  1. On an N×N grid, place the numbers 1 to N so that no number repeats in any row or column.
  2. The grid is split into outlined cages, each with a target number and an operation.
  3. The numbers in a cage must make the target with that operation, in any order.
  4. For − and ÷ cages of two cells, subtract or divide the smaller number from the larger.

Calcudoku tips

Fill single-cell cages first

A cage of one cell simply shows its answer. Write it in and remove that number from the rest of its row and column.

Work out small products

A 2-cell × cage of 12 in a 6×6 grid can only be 2 and 6 or 3 and 4. Listing the options early narrows the grid quickly.

Use the row total

Each row adds up to the same total, for example 21 on a 6×6 grid. When most of a row is known, the missing number follows.

Frequently asked questions

Is Calcudoku the same as KenKen?

The rules are the same. KenKen is a registered trademark of Nextoy, LLC; Calcudoku is the generic name for the puzzle. MindedGames is not affiliated with Nextoy.

Do I need to be good at maths?

Only basic arithmetic. The challenge is logic, combining the cage sums with the no-repeat rule.

What size should beginners play?

Start with 4×4 or 5×5 using addition and subtraction, then move up to 6×6 with all four operations.